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Show how Aaliyah can finish her work using complexnumbers. As a reminder, her last step before requiringassistance is:(x- 3)2=1Be sure to show ALL steps that lead to your finalsolution set!

Show how Aaliyah can finish her work using complexnumbers. As a reminder, her last-example-1
User Slysid
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1 Answer

5 votes
5 votes

aAs given by the question

There are given that the equation


x^2-6x+10=0

Now,

The solution of the Aaliyah is:


(x-3)^2=-1

Then,

The next step of the given solution is:


\begin{gathered} (x-3)^2=-1 \\ x-3=\sqrt[]{-1} \end{gathered}

According to the concept of complex number


i=\sqrt[]{-1}

So,


\begin{gathered} x-3=\sqrt[]{-1} \\ x-3=i \\ x=i+3 \end{gathered}

User Lynnette
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